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John has 300ft. of lumber to frame a rectangular patio. He wants to maxamize the area of his patio.......?

What should the dimensions of the patio be, and show how the maximum area of the patio is calculated for the albebraic equation. The perimeter of the rectangle is 2 times length plus 2 times width and the area of a rectangle is length times width. Show clearly the algebratic steps which prove your dimensions are the maximum area which can be obtained.

PLEASE HELP ME!!!!!

2 Answers

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  • Boom
    Lv 4
    2 decades ago
    Favorite Answer

    300/4=75...75+25=100..75-25=50...multiply both by 2...200+100=300...200x100=20,000sq.ft...my problem solving skills are a little different than normal, though...

  • 2 decades ago

    A square has more area for mateareal used than any other shape, as so a cube has more volume than any other 3D shape for matereal used.

    Area is just Lenghth x Width no complex equasion

    A=L*W

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